Details Page for 0.7053

Complete Solution is Known:

MSV File: q-0.7053.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₇(0.7053):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b¹⁷=b¹⁵, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=b⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=ab³g, eg=ab⁴g, fg=b¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁵h, gh=b¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=ab¹⁵, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁵j, gj=ab⁶j, hj=ab⁷j, ij=b¹⁵, j²=b¹⁶, b⁷k=b⁶j, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁵k, gk=ab⁶k, hk=ab⁶j, ik=ab⁷j, jk=b¹⁵, k²=b¹⁶, b⁶l=b⁵k, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁵l, gl=ab⁵k, hl=ab⁶k, il=ab⁶j, jl=ab⁷j, kl=b¹⁵, l²=b¹⁶, b⁵m=b⁴l, cm=ab²m, dm=ab³m, em=ab⁴m, fm=ab⁴l, gm=ab⁵l, hm=ab⁵k, im=ab⁶k, jm=ab⁶j, km=ab⁷j, lm=b¹⁵, m²=b¹⁶, b⁴n=b³m, cn=ab²n, dn=ab³n, en=ab³m, fn=ab⁴m, gn=ab⁴l, hn=ab⁵l, in=ab⁵k, jn=ab⁶k, kn=ab⁶j, ln=ab⁷j, mn=b¹⁵, n²=b¹⁶, b³o=b²n, co=ab²o, do=ab²n, eo=ab³n, fo=ab³m, go=ab⁴m, ho=ab⁴l, io=ab⁵l, jo=ab⁵k, ko=ab⁶k, lo=ab⁶j, mo=ab⁷j, no=b¹⁵, o²=b¹⁶, b²p=bo, cp=abo, dp=ab²o, ep=ab²n, fp=ab³n, gp=ab³m, hp=ab⁴m, ip=ab⁴l, jp=ab⁵l, kp=ab⁵k, lp=ab⁶k, mp=ab⁶j, np=ab⁷j, op=b¹⁵, p²=b¹⁶, bq=p, cq=abp, dq=abo, eq=ab²o, fq=ab²n, gq=ab³n, hq=ab³m, iq=ab⁴m, jq=ab⁴l, kq=ab⁵l, lq=ab⁵k, mq=ab⁶k, nq=ab⁶j, oq=ab⁷j, pq=b¹⁵, q²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, ab⁶j, abk, ab³k, ab⁵k, al, ab²l, ab⁴l, abm, ab³m, an, ab²n, abo, ap}

Phi = 1 a 1 a b ab b ab 1 c ac c b ab³ b³ d b² bd b⁴ e b³ be b⁵ f b⁴ bf b⁶ g b⁵ bg b⁷ h b⁶ bh b⁸ i b⁷ bi b⁹ j b⁸ bj b¹⁰ k b⁹ bk b¹¹ l b¹⁰ bl b¹² m b¹¹ bm b¹³ n b¹² bn b¹⁴ o b¹³ bo b¹⁵ p b¹⁴ bp b¹⁶ q b¹⁵ p b¹⁵

Monoid Structure